Since the year 2000 we have witnessed several outstanding results in geometry that have solved
long-standing problems such as the Poincaré conjecture the Yau-Tian-Donaldson conjecture and
the Willmore conjecture. There are still many important and challenging unsolved problems
including among others the Strominger-Yau-Zaslow conjecture on mirror symmetry the relative
Yau-Tian-Donaldson conjecture in Kähler geometry the Hopf conjecture and the Yau conjecture
on the first eigenvalue of an embedded minimal hypersurface of the sphere. For the younger
generation to approach such problems and obtain the required techniques it is of the utmost
importance to provide them with up-to-date information from leading specialists.The geometry
conference for the friendship of China and Japan has achieved this purpose during the past 10
years. Their talks deal with problems at the highest level often accompanied with solutions
and ideas which extend across various fields in Riemannian geometry symplectic and contact
geometry and complex geometry.
